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Length of valley curve is the valley transition curve made fully transitional by providing two similar transition curves of equal length. Check FAQs
LVc=N⋅SSD21.5+0.035⋅SSD
LVc - Length of Valley Curve?N - Deviation Angle?SSD - Stopping Sight Distance?

Length of Valley Curve given Height of Head Light and Beam Angle Example

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Here is how the Length of Valley Curve given Height of Head Light and Beam Angle equation looks like with Values.

Here is how the Length of Valley Curve given Height of Head Light and Beam Angle equation looks like with Units.

Here is how the Length of Valley Curve given Height of Head Light and Beam Angle equation looks like.

288.4507Edit=0.08Edit⋅160Edit21.5+0.035⋅160Edit
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Length of Valley Curve given Height of Head Light and Beam Angle Solution

Follow our step by step solution on how to calculate Length of Valley Curve given Height of Head Light and Beam Angle?

FIRST Step Consider the formula
LVc=N⋅SSD21.5+0.035⋅SSD
Next Step Substitute values of Variables
∴ LVc=0.08⋅160m21.5+0.035⋅160m
Next Step Prepare to Evaluate
∴ LVc=0.08⋅16021.5+0.035⋅160
Next Step Evaluate
∴LVc=288.450704225352m
LAST Step Rounding Answer
∴LVc=288.4507m

Length of Valley Curve given Height of Head Light and Beam Angle Formula Elements

Variables
Length of Valley Curve
Length of valley curve is the valley transition curve made fully transitional by providing two similar transition curves of equal length.
Symbol: LVc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Length of Valley CurveOpen Variable
Deviation Angle
Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.
Symbol: N
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Deviation AngleOpen Variable
Stopping Sight Distance
Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Symbol: SSD
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Stopping Sight DistanceOpen Variable

Other Formulas to find Length of Valley Curve

​Go Length of Valley Curve for Head Light Sight Distance when Length is more than SSD
LVc=N⋅SSD22⋅h1+2⋅SSD⋅tan(α)
​Go Length of Valley Curve for Head Light Sight Distance when Length is less than SSD
LVc=2⋅SSD-(2⋅h1+2⋅SSD⋅tan(α)N)
​Go Length of Valley Curve given Beam Angle and Height of Head Light
LVc=2⋅SSD-(1.5+0.035⋅SSDN)

How to Evaluate Length of Valley Curve given Height of Head Light and Beam Angle?

Length of Valley Curve given Height of Head Light and Beam Angle evaluator uses Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance) to evaluate the Length of Valley Curve, The Length of Valley Curve given Height of Head Light and Beam Angle formula is defined as ratio of deviation angle to the stopping sight distance. Length of Valley Curve is denoted by LVc symbol.

How to evaluate Length of Valley Curve given Height of Head Light and Beam Angle using this online evaluator? To use this online evaluator for Length of Valley Curve given Height of Head Light and Beam Angle, enter Deviation Angle (N) & Stopping Sight Distance (SSD) and hit the calculate button.

FAQs on Length of Valley Curve given Height of Head Light and Beam Angle

What is the formula to find Length of Valley Curve given Height of Head Light and Beam Angle?
The formula of Length of Valley Curve given Height of Head Light and Beam Angle is expressed as Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance). Here is an example- 288.4507 = 0.08*160^2/(1.5+0.035*160).
How to calculate Length of Valley Curve given Height of Head Light and Beam Angle?
With Deviation Angle (N) & Stopping Sight Distance (SSD) we can find Length of Valley Curve given Height of Head Light and Beam Angle using the formula - Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance).
What are the other ways to Calculate Length of Valley Curve?
Here are the different ways to Calculate Length of Valley Curve-
  • Length of Valley Curve=(Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))OpenImg
  • Length of Valley Curve=2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)OpenImg
  • Length of Valley Curve=2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)OpenImg
Can the Length of Valley Curve given Height of Head Light and Beam Angle be negative?
No, the Length of Valley Curve given Height of Head Light and Beam Angle, measured in Length cannot be negative.
Which unit is used to measure Length of Valley Curve given Height of Head Light and Beam Angle?
Length of Valley Curve given Height of Head Light and Beam Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Valley Curve given Height of Head Light and Beam Angle can be measured.
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